Finding the Fourth Proportional to 10,274.58, 14,178.78 and 5,737.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.58 : 14,178.78 = 5,737.33 : x
2. Step 2: Convert to fraction form
   10,274.58/14,178.78 = 5,737.33/x
3. Step 3: Cross multiply
   10,274.58x = 14,178.78 × 5,737.33
4. Step 4: Simplify right side
   10,274.58x = 81,348,339.86
5. Step 5: Solve for x
   x = 81,348,339.86/10,274.58
6. Step 6: Final answer
   x = 7,917.44